Global stability of a class of virus dynamics models with general incidence rate and multitarget cells
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, 21589, Jeddah, Saudi Arabia
2 Department of Mathematics, Faculty of Applied Science, Thamar University, Dhamar, Yemen
Accepted: 14 August 2021
Published online: 23 August 2021
In this paper, stability dynamics of two viral infection models with antibody immune response are formulated and analyzed. We assume that the virus infects n classes of target cells. The incidence rate is given by a general nonlinear function which satisfies a set of reasonable conditions. The second model takes into account two forms of infected cells, namely latently and actively infected cells. Nonnegativity and boundedness properties of the proposed models are proven. The application of Lyapunov’s direct method and LaSalle’s invariance principle greatly enables us to prove the global asymptotic stability of the steady states of the models. The theoretical results are validated by the establishment of the numerical simulations.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021